Analyse perturbative des caract�ristiques de propagation des fibres optiques � gradient d'indice quasi-parabolique

Meunier, J.-P.; Pigeon, Jérôme; Massot, Jean

doi:10.1007/bf00625497

Cited by 13 publications

(6 citation statements)

References 28 publications

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“…It is well known that any deviation of the refractive * Corresponding author: katarzyna.krupa@unibs.it index profile of a GRIN MMF from the ideal parabolic shape has direct consequences on the spacing among propagation constants of its modes [20][21][22]. In this work, we show that this simple consideration has dramatic consequences on the mode selection properties of parametric sidebands, as a result of the disruption of the collective self-imaging effect, which is a typical characteristic of multimode wave propagation in ideal GRIN fibers.…”

Section: Introductionmentioning

confidence: 99%

Refractive index profile tailoring of multimode optical fibers for the spatial and spectral shaping of parametric sidebands

Krupa¹,

Couderc²,

Tonello³

et al. 2019

J. Opt. Soc. Am. B

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We introduce the concept of spatial and spectral control of nonlinear parametric sidebands in multimode optical fibers by tailoring their linear refractive index profile. In all cases, the pump experiences Kerr self-cleaning, leading to a bell-shaped profile close to the fundamental mode. Geometric parametric instability, owing to quasi-phase-matching from the grating generated via the Kerr effect by pump self-imaging, leads to frequency multicasting of beam self-cleaning across a wideband array of sidebands. Our experiments show that introducing a gaussian dip in the refractive index profile of a graded index fiber permits to dramatically change the spatial content of spectral sidebands into higher-order modes. This is due to the breaking of oscillation synchronism among fundamental and higher-order modes. Hence modal-four-wave mixing prevails over geometric parametric instability as the main sideband generation mechanism. Observations agree well with theoretical predictions based on a perturbative analysis, and with full numerical solutions of the (3D + 1) nonlinear Schrödinger equation.

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Section: Introductionmentioning

confidence: 99%

Refractive index profile tailoring of multimode optical fibers for the spatial and spectral shaping of parametric sidebands

Krupa¹,

Couderc²,

Tonello³

et al. 2019

J. Opt. Soc. Am. B

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“…In addition, complex numerical techniques must be subjected to rigorous comparison and testing with respect to other independent methods, if spurious, meaningless or plain wrong results are to be eliminated. [Meunier et al, 1980;Rosenbaum and Coren, 1980] perturbation methods have been considered. These generally involve the representation of true profiles as perturbations from a suitably defined canonical profile, usually quadratic (a = 2), the strength of perturbation being parameterised by a small number, e (say).…”

Section: Numerical Methods Power Series Linear Multistep Integratiomentioning

confidence: 99%

Asymptotic analysis of planar and cylindrical inhomogeneous waveguides

Arnold¹

1981

Radio Science

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The problem of determining the eigenvalues of an inhomogeneous waveguide, subject to boundary conditions at an interface with an exterior homogeneous medium (cladding) is considered. A recently developed asymptotic method is summarised. Previous work dealt with planar waveguides; here we incorporate the extensions necessary to accommodate cylindrical waveguides, as encountered in optical fibres. The method uses a nonlinear transformation between variables to reduce a given differential equation to canonical form; this transformation has more tractable asymptotic properties than the original differential equation.

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“…For an arbitrary refractive index profile, one solves the scalar wave equation numerically [4][5][6][7][8] or uses approximate methods, such as, the perturbation method [9,10], the WKBJ method [11] or the variational method [12][13][14][15][16][17][18][19][20][21]. Literatures reveal that of all the approximate methods, the variational method is the most preferred one as it provides a highly accurate analytical expression for the modal field which result into simple closed form expressions for the parameters of interest stated above.…”

Section: Introductionmentioning

confidence: 99%

Study of parabolic self-similar optical pulse generation in single mode fibers using variational approximation for the LP mode

Chowdhury

Ghosh

Basu

et al. 2016

Optik

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Analyse perturbative des caract�ristiques de propagation des fibres optiques � gradient d'indice quasi-parabolique

Cited by 13 publications

References 28 publications

Refractive index profile tailoring of multimode optical fibers for the spatial and spectral shaping of parametric sidebands

Refractive index profile tailoring of multimode optical fibers for the spatial and spectral shaping of parametric sidebands

Asymptotic analysis of planar and cylindrical inhomogeneous waveguides

Study of parabolic self-similar optical pulse generation in single mode fibers using variational approximation for the LP mode

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